%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP710-10 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:21:21 AM UTC 2026 % Result : Unsatisfiable 161.45s 161.73s % Output : Proof 161.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP710-10 : TPTP v9.2.1. Released v8.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n004.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 01:54:22 EDT 2026 % 0.17/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.43/15.65 --- Run --no-e-matching --full-saturate-quant at 6... % 21.43/21.67 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.44/27.69 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.55/33.76 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.74/63.98 --- Run --trigger-sel=max --full-saturate-quant at 15... % 63.84/79.14 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.20/112.44 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.49/127.76 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.66/158.03 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 161.45/161.73 % SZS status Unsatisfiable % 161.45/161.73 % SZS output start Proof % 161.45/161.74 ( % 161.45/161.74 (declare-sort $$unsorted 0) % 161.45/161.74 (declare-const tptp.x1 $$unsorted) % 161.45/161.74 (declare-const tptp.i (-> $$unsorted $$unsorted)) % 161.45/161.74 (declare-const tptp.mult (-> $$unsorted $$unsorted $$unsorted)) % 161.45/161.74 (declare-const tptp.x0 $$unsorted) % 161.45/161.74 (declare-const tptp.unit $$unsorted) % 161.45/161.74 (define @t1 () (@var "A" $$unsorted)) % 161.45/161.74 (define @t2 () (tptp.mult @t1 tptp.unit)) % 161.45/161.74 (define @t3 () (@list @t1)) % 161.45/161.74 (define @t4 () (forall @t3 (= @t2 @t1))) % 161.45/161.74 (define @t5 () (tptp.mult tptp.unit @t1)) % 161.45/161.74 (define @t6 () (forall @t3 (= @t5 @t1))) % 161.45/161.74 (define @t7 () (@var "C" $$unsorted)) % 161.45/161.74 (define @t8 () (@var "B" $$unsorted)) % 161.45/161.74 (define @t9 () (forall (@list @t1 @t8 @t7) (= (tptp.mult @t1 (tptp.mult @t8 (tptp.mult @t8 @t7))) (tptp.mult (tptp.mult (tptp.mult @t1 @t8) @t8) @t7)))) % 161.45/161.74 (define @t10 () (tptp.i @t1)) % 161.45/161.74 (define @t11 () (tptp.mult @t1 @t10)) % 161.45/161.74 (define @t12 () (forall @t3 (= @t11 tptp.unit))) % 161.45/161.74 (define @t13 () (tptp.mult @t10 @t1)) % 161.45/161.74 (define @t14 () (forall @t3 (= @t13 tptp.unit))) % 161.45/161.74 (define @t15 () (@var "X2" $$unsorted)) % 161.45/161.74 (define @t16 () (tptp.mult tptp.x0 @t15)) % 161.45/161.74 (define @t17 () (not (= @t16 tptp.x1))) % 161.45/161.74 (define @t18 () (@list @t15)) % 161.45/161.74 (define @t19 () (forall @t18 @t17)) % 161.45/161.74 (define @t20 () (tptp.i tptp.x0)) % 161.45/161.74 (define @t21 () (tptp.mult @t20 tptp.x1)) % 161.45/161.74 (define @t22 () (@list tptp.x0)) % 161.45/161.74 (define @t23 () (tptp.mult tptp.x0 @t20)) % 161.45/161.74 (define @t24 () (tptp.mult tptp.x0 @t23)) % 161.45/161.74 (define @t25 () (tptp.mult tptp.x0 tptp.x0)) % 161.45/161.74 (define @t26 () (tptp.mult @t25 tptp.x0)) % 161.45/161.74 (define @t27 () (tptp.mult @t26 @t20)) % 161.45/161.74 (define @t28 () (tptp.mult @t27 @t20)) % 161.45/161.74 (define @t29 () (tptp.mult @t20 tptp.unit)) % 161.45/161.74 (define @t30 () (tptp.mult @t20 @t29)) % 161.45/161.74 (define @t31 () (tptp.mult tptp.x0 @t25)) % 161.45/161.74 (define @t32 () (tptp.mult @t20 tptp.x0)) % 161.45/161.74 (define @t33 () (tptp.mult @t32 tptp.x0)) % 161.45/161.74 (define @t34 () (tptp.mult @t20 @t25)) % 161.45/161.74 (define @t35 () (tptp.mult @t34 @t25)) % 161.45/161.74 (define @t36 () (tptp.mult tptp.x0 (tptp.mult tptp.x0 tptp.unit))) % 161.45/161.74 (define @t37 () (tptp.mult (tptp.mult tptp.unit tptp.x0) tptp.x0)) % 161.45/161.74 (define @t38 () (tptp.mult @t37 @t20)) % 161.45/161.74 (define @t39 () (tptp.mult @t38 @t20)) % 161.45/161.74 (define @t40 () (tptp.mult @t37 (tptp.mult @t37 @t30))) % 161.45/161.74 (define @t41 () (tptp.mult tptp.x0 @t31)) % 161.45/161.74 (define @t42 () (tptp.mult @t20 (tptp.mult @t20 @t41))) % 161.45/161.74 (define @t43 () (tptp.mult tptp.x0 @t37)) % 161.45/161.74 (define @t44 () (tptp.mult @t31 @t30)) % 161.45/161.74 (define @t45 () (tptp.mult @t31 @t44)) % 161.45/161.74 (define @t46 () (@list @t20)) % 161.45/161.74 (define @t47 () (tptp.mult tptp.unit @t20)) % 161.45/161.74 (define @t48 () (tptp.mult @t47 @t20)) % 161.45/161.74 (define @t49 () (tptp.mult @t26 @t30)) % 161.45/161.74 (define @t50 () (tptp.mult @t26 @t49)) % 161.45/161.74 (define @t51 () (tptp.mult (tptp.mult @t20 @t26) @t26)) % 161.45/161.74 (define @t52 () (tptp.mult @t51 @t48)) % 161.45/161.74 (define @t53 () (tptp.mult @t52 @t48)) % 161.45/161.74 (define @t54 () (tptp.mult @t20 @t32)) % 161.45/161.74 (define @t55 () (tptp.mult @t20 @t20)) % 161.45/161.74 (define @t56 () (tptp.mult @t20 @t55)) % 161.45/161.74 (define @t57 () (tptp.mult @t36 @t56)) % 161.45/161.74 (define @t58 () (tptp.mult @t36 @t57)) % 161.45/161.74 (define @t59 () (tptp.mult @t55 @t20)) % 161.45/161.74 (define @t60 () (tptp.mult @t59 @t58)) % 161.45/161.74 (define @t61 () (tptp.mult @t20 @t36)) % 161.45/161.74 (define @t62 () (tptp.mult tptp.unit @t56)) % 161.45/161.74 (define @t63 () (tptp.mult @t48 @t20)) % 161.45/161.74 (define @t64 () (= @t62 @t63)) % 161.45/161.74 (define @t65 () (@list false)) % 161.45/161.74 (define @t66 () (@list @t9)) % 161.45/161.74 (define @t67 () (tptp.mult @t37 (tptp.mult @t37 @t56))) % 161.45/161.74 (define @t68 () (tptp.mult (tptp.mult tptp.unit @t37) @t37)) % 161.45/161.74 (define @t69 () (tptp.mult @t68 @t59)) % 161.45/161.74 (define @t70 () (tptp.mult @t69 @t59)) % 161.45/161.74 (define @t71 () (tptp.mult @t25 @t20)) % 161.45/161.74 (define @t72 () (tptp.mult @t71 @t20)) % 161.45/161.74 (define @t73 () (tptp.mult @t37 tptp.x0)) % 161.45/161.74 (define @t74 () (tptp.mult @t37 @t73)) % 161.45/161.74 (define @t75 () (tptp.mult @t74 @t30)) % 161.45/161.74 (define @t76 () (tptp.mult @t75 @t30)) % 161.45/161.74 (define @t77 () (tptp.mult @t30 (tptp.mult @t30 @t21))) % 161.45/161.74 (define @t78 () (tptp.mult @t23 @t20)) % 161.45/161.74 (define @t79 () (tptp.mult @t20 @t21)) % 161.45/161.74 (define @t80 () (tptp.mult @t31 @t79)) % 161.45/161.74 (define @t81 () (tptp.mult @t20 @t80)) % 161.45/161.74 (define @t82 () (tptp.mult (tptp.mult @t37 tptp.unit) tptp.unit)) % 161.45/161.74 (define @t83 () (tptp.mult @t82 @t79)) % 161.45/161.74 (define @t84 () (tptp.mult tptp.x0 (tptp.mult tptp.x0 tptp.x1))) % 161.45/161.74 (define @t85 () (tptp.mult @t29 tptp.unit)) % 161.45/161.74 (define @t86 () (tptp.mult @t20 @t84)) % 161.45/161.74 (define @t87 () (tptp.mult @t20 @t86)) % 161.45/161.74 (define @t88 () (tptp.mult @t20 @t87)) % 161.45/161.74 (define @t89 () (tptp.mult @t59 @t84)) % 161.45/161.74 (define @t90 () (= @t88 @t89)) % 161.45/161.74 (define @t91 () (forall @t18 (not (= tptp.x1 @t16)))) % 161.45/161.74 (define @t92 () (= tptp.x1 (tptp.mult tptp.x0 @t21))) % 161.45/161.74 (assume @p1 @t4) % 161.45/161.74 (assume @p2 @t6) % 161.45/161.74 (assume @p3 @t9) % 161.45/161.74 (assume @p4 @t12) % 161.45/161.74 (assume @p5 @t14) % 161.45/161.74 (assume @p6 @t19) % 161.45/161.74 (step @p7 :rule eq-symm :args (@t16 tptp.x1)) % 161.45/161.74 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 161.45/161.74 (step @p9 :rule cong :premises (@p8) :args (@t19)) % 161.45/161.74 (step @p10 :rule eq_resolve :premises (@p6 @p9)) % 161.45/161.74 (step @p11 :rule refl :args (@t21)) % 161.45/161.74 (step @p12 :rule eq-symm :args (@t2 @t1)) % 161.45/161.74 (step @p13 :rule cong :premises (@p12) :args (@t4)) % 161.45/161.74 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 161.45/161.74 (step @p15 :rule instantiate :premises (@p14) :args (@t22)) % 161.45/161.74 (step @p16 :rule symm :premises (@p15)) % 161.45/161.74 (step @p17 :rule refl :args (tptp.unit)) % 161.45/161.74 (step @p18 :rule eq-symm :args (@t5 @t1)) % 161.45/161.74 (step @p19 :rule cong :premises (@p18) :args (@t6)) % 161.45/161.74 (step @p20 :rule eq_resolve :premises (@p2 @p19)) % 161.45/161.74 (step @p21 :rule instantiate :premises (@p20) :args (@t22)) % 161.45/161.74 (step @p22 :rule symm :premises (@p21)) % 161.45/161.74 (step @p23 :rule eq-symm :args (@t11 tptp.unit)) % 161.45/161.74 (step @p24 :rule cong :premises (@p23) :args (@t12)) % 161.45/161.74 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 161.45/161.74 (step @p26 :rule instantiate :premises (@p25) :args (@t22)) % 161.45/161.74 (step @p27 :rule symm :premises (@p26)) % 161.45/161.74 (step @p28 :rule refl :args (tptp.x0)) % 161.45/161.74 (step @p29 :rule cong :premises (@p28 @p27) :args (@t24)) % 161.45/161.74 (step @p30 :rule trans :premises (@p29 @p16)) % 161.45/161.74 (step @p31 :rule cong :premises (@p17 @p30) :args ((tptp.mult tptp.unit @t24))) % 161.45/161.74 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.unit tptp.x0 @t20))) % 161.45/161.74 (step @p33 :rule symm :premises (@p32)) % 161.45/161.74 (step @p34 :rule refl :args (@t20)) % 161.45/161.74 (step @p35 :rule cong :premises (@p21 @p28) :args (@t25)) % 161.45/161.74 (step @p36 :rule cong :premises (@p28 @p30) :args ((tptp.mult tptp.x0 @t24))) % 161.45/161.74 (step @p37 :rule instantiate :premises (@p3) :args ((@list tptp.x0 tptp.x0 @t20))) % 161.45/161.74 (step @p38 :rule symm :premises (@p37)) % 161.45/161.74 (step @p39 :rule trans :premises (@p38 @p36 @p35)) % 161.45/161.74 (step @p40 :rule cong :premises (@p39 @p34) :args (@t28)) % 161.45/161.74 (step @p41 :rule trans :premises (@p40 @p33 @p31 @p22)) % 161.45/161.74 (step @p42 :rule cong :premises (@p41 @p17) :args ((tptp.mult @t28 tptp.unit))) % 161.45/161.74 (step @p43 :rule instantiate :premises (@p3) :args ((@list @t26 @t20 tptp.unit))) % 161.45/161.74 (step @p44 :rule refl :args (@t30)) % 161.45/161.74 (step @p45 :rule instantiate :premises (@p14) :args ((@list @t26))) % 161.45/161.74 (step @p46 :rule symm :premises (@p45)) % 161.45/161.74 (step @p47 :rule instantiate :premises (@p3) :args ((@list tptp.x0 tptp.x0 tptp.unit))) % 161.45/161.74 (step @p48 :rule cong :premises (@p28 @p15) :args (@t25)) % 161.45/161.74 (step @p49 :rule cong :premises (@p28 @p48) :args (@t31)) % 161.45/161.74 (step @p50 :rule refl :args (@t25)) % 161.45/161.74 (step @p51 :rule eq-symm :args (@t13 tptp.unit)) % 161.45/161.74 (step @p52 :rule cong :premises (@p51) :args (@t14)) % 161.45/161.74 (step @p53 :rule eq_resolve :premises (@p5 @p52)) % 161.45/161.74 (step @p54 :rule instantiate :premises (@p53) :args (@t22)) % 161.45/161.74 (step @p55 :rule symm :premises (@p54)) % 161.45/161.74 (step @p56 :rule cong :premises (@p55 @p28) :args (@t33)) % 161.45/161.74 (step @p57 :rule trans :premises (@p56 @p22)) % 161.45/161.74 (step @p58 :rule cong :premises (@p57 @p17) :args ((tptp.mult @t33 tptp.unit))) % 161.45/161.74 (step @p59 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.x0 tptp.unit))) % 161.45/161.74 (step @p60 :rule cong :premises (@p34 @p48) :args (@t34)) % 161.45/161.74 (step @p61 :rule trans :premises (@p60 @p59 @p58 @p16)) % 161.45/161.74 (step @p62 :rule cong :premises (@p61 @p50) :args (@t35)) % 161.45/161.74 (step @p63 :rule trans :premises (@p62 @p49 @p47 @p46)) % 161.45/161.74 (step @p64 :rule symm :premises (@p62)) % 161.45/161.74 (step @p65 :rule symm :premises (@p48)) % 161.45/161.74 (step @p66 :rule instantiate :premises (@p20) :args ((@list @t36))) % 161.45/161.74 (step @p67 :rule symm :premises (@p66)) % 161.45/161.74 (step @p68 :rule instantiate :premises (@p3) :args ((@list tptp.unit tptp.x0 tptp.unit))) % 161.45/161.74 (step @p69 :rule symm :premises (@p68)) % 161.45/161.74 (step @p70 :rule instantiate :premises (@p14) :args ((@list tptp.unit))) % 161.45/161.74 (step @p71 :rule symm :premises (@p70)) % 161.45/161.74 (step @p72 :rule trans :premises (@p33 @p31 @p22)) % 161.45/161.74 (step @p73 :rule cong :premises (@p72 @p34) :args (@t39)) % 161.45/161.74 (step @p74 :rule trans :premises (@p73 @p27)) % 161.45/161.74 (step @p75 :rule cong :premises (@p74 @p17) :args ((tptp.mult @t39 tptp.unit))) % 161.45/161.74 (step @p76 :rule instantiate :premises (@p3) :args ((@list @t37 @t20 tptp.unit))) % 161.45/161.74 (step @p77 :rule trans :premises (@p76 @p75 @p71)) % 161.45/161.74 (step @p78 :rule refl :args (@t37)) % 161.45/161.74 (step @p79 :rule cong :premises (@p78 @p77) :args (@t40)) % 161.45/161.74 (step @p80 :rule trans :premises (@p79 @p69 @p67 @p65)) % 161.45/161.74 (step @p81 :rule cong :premises (@p28 @p80) :args ((tptp.mult tptp.x0 @t40))) % 161.45/161.74 (step @p82 :rule instantiate :premises (@p3) :args ((@list tptp.x0 @t37 @t30))) % 161.45/161.74 (step @p83 :rule symm :premises (@p82)) % 161.45/161.74 (step @p84 :rule cong :premises (@p28 @p35) :args (@t31)) % 161.45/161.74 (step @p85 :rule trans :premises (@p62 @p84)) % 161.45/161.74 (step @p86 :rule symm :premises (@p63)) % 161.45/161.74 (step @p87 :rule trans :premises (@p86 @p85)) % 161.45/161.74 (step @p88 :rule cong :premises (@p87 @p78) :args ((tptp.mult @t26 @t37))) % 161.45/161.74 (step @p89 :rule symm :premises (@p88)) % 161.45/161.74 (step @p90 :rule cong :premises (@p57 @p28) :args ((tptp.mult @t33 tptp.x0))) % 161.45/161.74 (step @p91 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.x0 tptp.x0))) % 161.45/161.74 (step @p92 :rule cong :premises (@p57 @p50) :args ((tptp.mult @t33 @t25))) % 161.45/161.74 (step @p93 :rule instantiate :premises (@p3) :args ((@list @t20 tptp.x0 @t25))) % 161.45/161.74 (step @p94 :rule trans :premises (@p93 @p92)) % 161.45/161.74 (step @p95 :rule cong :premises (@p34 @p94) :args (@t42)) % 161.45/161.74 (step @p96 :rule trans :premises (@p95 @p91 @p90 @p35)) % 161.45/161.74 (step @p97 :rule refl :args (@t43)) % 161.45/161.74 (step @p98 :rule cong :premises (@p97 @p96) :args ((tptp.mult @t43 @t42))) % 161.45/161.74 (step @p99 :rule instantiate :premises (@p3) :args ((@list @t43 @t20 @t41))) % 161.45/161.74 (step @p100 :rule symm :premises (@p99)) % 161.45/161.74 (step @p101 :rule refl :args (@t41)) % 161.45/161.74 (step @p102 :rule cong :premises (@p87 @p34) :args (@t27)) % 161.45/161.74 (step @p103 :rule symm :premises (@p36)) % 161.45/161.74 (step @p104 :rule symm :premises (@p35)) % 161.45/161.74 (step @p105 :rule trans :premises (@p104 @p103 @p37 @p102)) % 161.45/161.74 (step @p106 :rule cong :premises (@p105 @p34) :args (@t38)) % 161.45/161.74 (step @p107 :rule symm :premises (@p31)) % 161.45/161.74 (step @p108 :rule trans :premises (@p21 @p107 @p32 @p106)) % 161.45/161.74 (step @p109 :rule cong :premises (@p108 @p101) :args ((tptp.mult tptp.x0 @t41))) % 161.45/161.74 (step @p110 :rule instantiate :premises (@p3) :args ((@list tptp.x0 tptp.x0 tptp.x0))) % 161.45/161.74 (step @p111 :rule symm :premises (@p110)) % 161.45/161.74 (step @p112 :rule trans :premises (@p64 @p63)) % 161.45/161.74 (step @p113 :rule cong :premises (@p112 @p44) :args (@t44)) % 161.45/161.74 (step @p114 :rule trans :premises (@p113 @p43 @p42 @p16)) % 161.45/161.74 (step @p115 :rule cong :premises (@p112 @p114) :args (@t45)) % 161.45/161.74 (step @p116 :rule trans :premises (@p115 @p111)) % 161.45/161.74 (step @p117 :rule instantiate :premises (@p14) :args (@t46)) % 161.45/161.74 (step @p118 :rule instantiate :premises (@p20) :args (@t46)) % 161.45/161.74 (step @p119 :rule symm :premises (@p118)) % 161.45/161.74 (step @p120 :rule cong :premises (@p119 @p117) :args (@t48)) % 161.45/161.74 (step @p121 :rule trans :premises (@p43 @p42 @p16)) % 161.45/161.74 (step @p122 :rule refl :args (@t26)) % 161.45/161.74 (step @p123 :rule cong :premises (@p122 @p121) :args (@t50)) % 161.45/161.74 (step @p124 :rule trans :premises (@p123 @p111)) % 161.45/161.74 (step @p125 :rule cong :premises (@p34 @p124) :args ((tptp.mult @t20 @t50))) % 161.45/161.74 (step @p126 :rule instantiate :premises (@p3) :args ((@list @t20 @t26 @t30))) % 161.45/161.74 (step @p127 :rule symm :premises (@p126)) % 161.45/161.74 (step @p128 :rule refl :args (@t51)) % 161.45/161.74 (step @p129 :rule cong :premises (@p128 @p120) :args (@t52)) % 161.45/161.74 (step @p130 :rule trans :premises (@p129 @p127 @p125 @p93 @p92 @p64)) % 161.45/161.74 (step @p131 :rule trans :premises (@p130 @p63)) % 161.45/161.74 (step @p132 :rule cong :premises (@p131 @p120) :args (@t53)) % 161.45/161.74 (step @p133 :rule trans :premises (@p132 @p43 @p42 @p16)) % 161.45/161.74 (step @p134 :rule cong :premises (@p133 @p116) :args ((tptp.mult @t53 @t45))) % 161.45/161.74 (step @p135 :rule instantiate :premises (@p3) :args ((@list @t51 @t48 @t45))) % 161.45/161.74 (step @p136 :rule refl :args (@t45)) % 161.45/161.74 (step @p137 :rule symm :premises (@p117)) % 161.45/161.74 (step @p138 :rule cong :premises (@p34 @p55) :args (@t54)) % 161.45/161.74 (step @p139 :rule trans :premises (@p138 @p137)) % 161.45/161.74 (step @p140 :rule refl :args (@t47)) % 161.45/161.74 (step @p141 :rule cong :premises (@p140 @p139) :args ((tptp.mult @t47 @t54))) % 161.45/161.74 (step @p142 :rule instantiate :premises (@p3) :args ((@list @t47 @t20 tptp.x0))) % 161.45/161.74 (step @p143 :rule symm :premises (@p142)) % 161.45/161.74 (step @p144 :rule cong :premises (@p74 @p34) :args ((tptp.mult @t39 @t20))) % 161.45/161.74 (step @p145 :rule instantiate :premises (@p3) :args ((@list @t37 @t20 @t20))) % 161.45/161.74 (step @p146 :rule refl :args (@t56)) % 161.45/161.74 (step @p147 :rule trans :premises (@p65 @p35)) % 161.45/161.74 (step @p148 :rule cong :premises (@p147 @p146) :args (@t57)) % 161.45/161.74 (step @p149 :rule trans :premises (@p148 @p145 @p144 @p119)) % 161.45/161.74 (step @p150 :rule cong :premises (@p147 @p149) :args (@t58)) % 161.45/161.74 (step @p151 :rule trans :premises (@p150 @p33 @p31 @p22)) % 161.45/161.74 (step @p152 :rule cong :premises (@p118 @p34) :args (@t55)) % 161.45/161.74 (step @p153 :rule cong :premises (@p152 @p34) :args (@t59)) % 161.45/161.74 (step @p154 :rule cong :premises (@p153 @p151) :args (@t60)) % 161.45/161.74 (step @p155 :rule instantiate :premises (@p3) :args ((@list @t59 @t36 @t56))) % 161.45/161.74 (step @p156 :rule symm :premises (@p155)) % 161.45/161.74 (step @p157 :rule refl :args (@t36)) % 161.45/161.74 (step @p158 :rule instantiate :premises (@p3) :args ((@list @t20 @t20 @t36))) % 161.45/161.74 (step @p159 :rule symm :premises (@p59)) % 161.45/161.74 (step @p160 :rule symm :premises (@p58)) % 161.45/161.74 (step @p161 :rule trans :premises (@p15 @p160 @p159)) % 161.45/161.74 (step @p162 :rule cong :premises (@p34 @p161) :args (@t32)) % 161.45/161.74 (step @p163 :rule trans :premises (@p54 @p162)) % 161.45/161.74 (step @p164 :rule cong :premises (@p34 @p163) :args (@t29)) % 161.45/161.74 (step @p165 :rule trans :premises (@p117 @p164 @p158)) % 161.45/161.74 (step @p166 :rule cong :premises (@p165 @p157) :args (@t61)) % 161.45/161.74 (step @p167 :rule trans :premises (@p15 @p160 @p159 @p166)) % 161.45/161.74 (step @p168 :rule cong :premises (@p167 @p146) :args ((tptp.mult tptp.x0 @t56))) % 161.45/161.74 (step @p169 :rule instantiate :premises (@p20) :args ((@list @t56))) % 161.45/161.74 (step @p170 :rule symm :premises (@p169)) % 161.45/161.74 (step @p171 :rule eq-symm :args (@t62 @t63)) % 161.45/161.74 (step @p172 :rule refl :args (@t9)) % 161.45/161.74 (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t9 @t64))) % 161.45/161.74 (assume-push @p339 @t9) % 161.45/161.74 (step @p175 :rule instantiate :premises (@p3) :args ((@list tptp.unit @t20 @t20))) % 161.45/161.74 (step-pop @p340 :rule scope :premises (@p175)) % 161.45/161.74 (step @p176 :rule process_scope :premises (@p340) :args (@t64)) % 161.45/161.74 (step @p178 :rule eq_resolve :premises (@p176 @p173)) % 161.45/161.74 (step @p179 :rule implies_elim :premises (@p178)) % 161.45/161.74 (step @p180 :rule chain_m_resolution :premises (@p179 @p3) :args ((= @t63 @t62) @t65 @t66)) % 161.45/161.74 (step @p181 :rule trans :premises (@p153 @p180 @p170)) % 161.45/161.74 (step @p182 :rule trans :premises (@p145 @p144 @p119)) % 161.45/161.74 (step @p183 :rule cong :premises (@p78 @p182) :args (@t67)) % 161.45/161.74 (step @p184 :rule trans :premises (@p183 @p33 @p31 @p22)) % 161.45/161.74 (step @p185 :rule cong :premises (@p17 @p184) :args ((tptp.mult tptp.unit @t67))) % 161.45/161.74 (step @p186 :rule instantiate :premises (@p3) :args ((@list tptp.unit @t37 @t56))) % 161.45/161.74 (step @p187 :rule symm :premises (@p186)) % 161.45/161.74 (step @p188 :rule refl :args (@t68)) % 161.45/161.74 (step @p189 :rule cong :premises (@p188 @p181) :args (@t69)) % 161.45/161.74 (step @p190 :rule trans :premises (@p189 @p187 @p185 @p22)) % 161.45/161.74 (step @p191 :rule cong :premises (@p190 @p181) :args (@t70)) % 161.45/161.74 (step @p192 :rule trans :premises (@p191 @p168 @p156 @p154 @p143 @p141)) % 161.45/161.74 (step @p193 :rule cong :premises (@p192 @p136) :args ((tptp.mult @t70 @t45))) % 161.45/161.74 (step @p194 :rule instantiate :premises (@p3) :args ((@list @t68 @t59 @t45))) % 161.45/161.74 (step @p195 :rule instantiate :premises (@p3) :args ((@list @t59 @t31 @t30))) % 161.45/161.74 (step @p196 :rule symm :premises (@p195)) % 161.45/161.74 (step @p197 :rule refl :args (@t31)) % 161.45/161.74 (step @p198 :rule instantiate :premises (@p3) :args ((@list @t20 @t20 @t31))) % 161.45/161.74 (step @p199 :rule symm :premises (@p91)) % 161.45/161.74 (step @p200 :rule symm :premises (@p90)) % 161.45/161.74 (step @p201 :rule trans :premises (@p65 @p200 @p199)) % 161.45/161.74 (step @p202 :rule cong :premises (@p34 @p201) :args (@t61)) % 161.45/161.74 (step @p203 :rule trans :premises (@p15 @p160 @p159 @p202)) % 161.45/161.74 (step @p204 :rule cong :premises (@p34 @p203) :args (@t32)) % 161.45/161.74 (step @p205 :rule trans :premises (@p54 @p204 @p198)) % 161.45/161.74 (step @p206 :rule cong :premises (@p35 @p34) :args (@t71)) % 161.45/161.74 (step @p207 :rule trans :premises (@p206 @p33 @p31 @p22)) % 161.45/161.74 (step @p208 :rule cong :premises (@p207 @p34) :args (@t72)) % 161.45/161.74 (step @p209 :rule trans :premises (@p208 @p27)) % 161.45/161.74 (step @p210 :rule trans :premises (@p209 @p205)) % 161.45/161.74 (step @p211 :rule cong :premises (@p210 @p197) :args ((tptp.mult @t72 @t31))) % 161.45/161.74 (step @p212 :rule instantiate :premises (@p3) :args ((@list @t25 @t20 @t31))) % 161.45/161.74 (step @p213 :rule cong :premises (@p50 @p203) :args (@t26)) % 161.45/161.74 (step @p214 :rule trans :premises (@p62 @p49 @p47 @p46 @p213 @p212 @p211)) % 161.45/161.74 (step @p215 :rule trans :premises (@p86 @p214)) % 161.45/161.74 (step @p216 :rule cong :premises (@p215 @p44) :args (@t49)) % 161.45/161.74 (step @p217 :rule symm :premises (@p43)) % 161.45/161.74 (step @p218 :rule symm :premises (@p42)) % 161.45/161.74 (step @p219 :rule trans :premises (@p150 @p33 @p31 @p22 @p15 @p218 @p217 @p216 @p196)) % 161.45/161.74 (step @p220 :rule refl :args (@t59)) % 161.45/161.74 (step @p221 :rule cong :premises (@p220 @p219) :args (@t60)) % 161.45/161.74 (step @p222 :rule symm :premises (@p154)) % 161.45/161.74 (step @p223 :rule symm :premises (@p141)) % 161.45/161.74 (step @p224 :rule symm :premises (@p120)) % 161.45/161.74 (step @p225 :rule trans :premises (@p224 @p223 @p142 @p222 @p221)) % 161.45/161.74 (step @p226 :rule cong :premises (@p188 @p225) :args ((tptp.mult @t68 @t30))) % 161.45/161.74 (step @p227 :rule instantiate :premises (@p3) :args ((@list tptp.unit @t37 @t30))) % 161.45/161.74 (step @p228 :rule symm :premises (@p79)) % 161.45/161.74 (step @p229 :rule trans :premises (@p66 @p68 @p228)) % 161.45/161.74 (step @p230 :rule cong :premises (@p17 @p229) :args ((tptp.mult tptp.unit @t36))) % 161.45/161.74 (step @p231 :rule trans :premises (@p66 @p230 @p227 @p226 @p194 @p193)) % 161.45/161.74 (step @p232 :rule refl :args (@t48)) % 161.45/161.74 (step @p233 :rule cong :premises (@p232 @p231) :args ((tptp.mult @t48 @t36))) % 161.45/161.74 (step @p234 :rule instantiate :premises (@p3) :args ((@list tptp.unit @t20 @t36))) % 161.45/161.74 (step @p235 :rule cong :premises (@p17 @p163) :args ((tptp.mult tptp.unit tptp.unit))) % 161.45/161.74 (step @p236 :rule trans :premises (@p70 @p235 @p234 @p233)) % 161.45/161.74 (step @p237 :rule cong :premises (@p128 @p236) :args ((tptp.mult @t51 tptp.unit))) % 161.45/161.74 (step @p238 :rule instantiate :premises (@p14) :args ((@list @t51))) % 161.45/161.74 (step @p239 :rule trans :premises (@p238 @p237 @p135 @p134 @p109 @p100 @p98 @p89)) % 161.45/161.74 (step @p240 :rule cong :premises (@p104 @p28) :args (@t73)) % 161.45/161.74 (step @p241 :rule cong :premises (@p34 @p112) :args ((tptp.mult @t20 @t31))) % 161.45/161.74 (step @p242 :rule trans :premises (@p104 @p200 @p199 @p241)) % 161.45/161.74 (step @p243 :rule cong :premises (@p242 @p240) :args (@t74)) % 161.45/161.74 (step @p244 :rule trans :premises (@p243 @p239 @p88)) % 161.45/161.74 (step @p245 :rule cong :premises (@p244 @p44) :args (@t75)) % 161.45/161.74 (step @p246 :rule trans :premises (@p245 @p83 @p81 @p64)) % 161.45/161.74 (step @p247 :rule trans :premises (@p246 @p63)) % 161.45/161.74 (step @p248 :rule cong :premises (@p247 @p44) :args (@t76)) % 161.45/161.74 (step @p249 :rule trans :premises (@p248 @p43 @p42 @p16)) % 161.45/161.74 (step @p250 :rule cong :premises (@p249 @p11) :args ((tptp.mult @t76 @t21))) % 161.45/161.74 (step @p251 :rule instantiate :premises (@p3) :args ((@list @t74 @t30 @t21))) % 161.45/161.74 (step @p252 :rule refl :args (@t77)) % 161.45/161.74 (step @p253 :rule symm :premises (@p243)) % 161.45/161.74 (step @p254 :rule cong :premises (@p253 @p252) :args ((tptp.mult @t51 @t77))) % 161.45/161.74 (step @p255 :rule instantiate :premises (@p3) :args ((@list @t20 @t26 @t77))) % 161.45/161.74 (step @p256 :rule instantiate :premises (@p3) :args ((@list @t26 @t30 @t21))) % 161.45/161.74 (step @p257 :rule symm :premises (@p256)) % 161.45/161.74 (step @p258 :rule symm :premises (@p121)) % 161.45/161.74 (step @p259 :rule cong :premises (@p258 @p44) :args ((tptp.mult tptp.x0 @t30))) % 161.45/161.74 (step @p260 :rule instantiate :premises (@p3) :args ((@list tptp.x0 @t20 tptp.unit))) % 161.45/161.74 (step @p261 :rule symm :premises (@p260)) % 161.45/161.74 (step @p262 :rule cong :premises (@p27 @p34) :args (@t78)) % 161.45/161.74 (step @p263 :rule trans :premises (@p262 @p119)) % 161.45/161.74 (step @p264 :rule cong :premises (@p263 @p17) :args ((tptp.mult @t78 tptp.unit))) % 161.45/161.74 (step @p265 :rule symm :premises (@p264)) % 161.45/161.74 (step @p266 :rule trans :premises (@p117 @p265 @p261 @p259)) % 161.45/161.74 (step @p267 :rule cong :premises (@p266 @p11) :args (@t79)) % 161.45/161.74 (step @p268 :rule trans :premises (@p267 @p257)) % 161.45/161.74 (step @p269 :rule cong :premises (@p122 @p268) :args ((tptp.mult @t26 @t79))) % 161.45/161.74 (step @p270 :rule refl :args (@t79)) % 161.45/161.74 (step @p271 :rule cong :premises (@p112 @p270) :args (@t80)) % 161.45/161.74 (step @p272 :rule trans :premises (@p271 @p269)) % 161.45/161.74 (step @p273 :rule cong :premises (@p34 @p272) :args (@t81)) % 161.45/161.74 (step @p274 :rule instantiate :premises (@p20) :args ((@list @t81))) % 161.45/161.74 (step @p275 :rule symm :premises (@p274)) % 161.45/161.74 (step @p276 :rule refl :args (@t81)) % 161.45/161.74 (step @p277 :rule cong :premises (@p74 @p276) :args ((tptp.mult @t39 @t81))) % 161.45/161.74 (step @p278 :rule instantiate :premises (@p3) :args ((@list @t37 @t20 @t81))) % 161.45/161.74 (step @p279 :rule symm :premises (@p271)) % 161.45/161.74 (step @p280 :rule cong :premises (@p63 @p270) :args ((tptp.mult @t35 @t79))) % 161.45/161.74 (step @p281 :rule instantiate :premises (@p3) :args ((@list @t20 @t25 @t79))) % 161.45/161.74 (step @p282 :rule trans :premises (@p69 @p67 @p65 @p35)) % 161.45/161.74 (step @p283 :rule cong :premises (@p282 @p17) :args (@t82)) % 161.45/161.74 (step @p284 :rule trans :premises (@p283 @p69 @p67 @p65 @p35)) % 161.45/161.74 (step @p285 :rule trans :premises (@p284 @p104)) % 161.45/161.74 (step @p286 :rule cong :premises (@p285 @p270) :args (@t83)) % 161.45/161.74 (step @p287 :rule symm :premises (@p284)) % 161.45/161.74 (step @p288 :rule cong :premises (@p287 @p270) :args ((tptp.mult @t37 @t79))) % 161.45/161.74 (step @p289 :rule instantiate :premises (@p3) :args ((@list @t37 @t20 tptp.x1))) % 161.45/161.74 (step @p290 :rule symm :premises (@p289)) % 161.45/161.74 (step @p291 :rule refl :args (tptp.x1)) % 161.45/161.74 (step @p292 :rule symm :premises (@p74)) % 161.45/161.74 (step @p293 :rule cong :premises (@p292 @p291) :args ((tptp.mult tptp.unit tptp.x1))) % 161.45/161.74 (step @p294 :rule instantiate :premises (@p20) :args ((@list tptp.x1))) % 161.45/161.74 (step @p295 :rule trans :premises (@p294 @p293 @p290 @p288 @p286)) % 161.45/161.74 (step @p296 :rule cong :premises (@p285 @p295) :args ((tptp.mult @t82 tptp.x1))) % 161.45/161.74 (step @p297 :rule cong :premises (@p287 @p291) :args ((tptp.mult @t37 tptp.x1))) % 161.45/161.74 (step @p298 :rule instantiate :premises (@p3) :args ((@list tptp.unit tptp.x0 tptp.x1))) % 161.45/161.74 (step @p299 :rule instantiate :premises (@p20) :args ((@list @t84))) % 161.45/161.74 (step @p300 :rule trans :premises (@p299 @p298 @p297 @p296)) % 161.45/161.74 (step @p301 :rule cong :premises (@p137 @p17) :args (@t85)) % 161.45/161.74 (step @p302 :rule trans :premises (@p301 @p137)) % 161.45/161.74 (step @p303 :rule cong :premises (@p302 @p300) :args ((tptp.mult @t85 @t84))) % 161.45/161.74 (step @p304 :rule refl :args (@t84)) % 161.45/161.74 (step @p305 :rule symm :premises (@p302)) % 161.45/161.74 (step @p306 :rule cong :premises (@p305 @p304) :args (@t86)) % 161.45/161.74 (step @p307 :rule trans :premises (@p306 @p303 @p281 @p280 @p279)) % 161.45/161.74 (step @p308 :rule cong :premises (@p34 @p307) :args (@t87)) % 161.45/161.74 (step @p309 :rule cong :premises (@p34 @p308) :args (@t88)) % 161.45/161.74 (step @p310 :rule eq-symm :args (@t88 @t89)) % 161.45/161.74 (step @p311 :rule cong :premises (@p172 @p310) :args ((=> @t9 @t90))) % 161.45/161.74 (assume-push @p341 @t9) % 161.45/161.74 (step @p313 :rule instantiate :premises (@p3) :args ((@list @t20 @t20 @t84))) % 161.45/161.74 (step-pop @p342 :rule scope :premises (@p313)) % 161.45/161.74 (step @p314 :rule process_scope :premises (@p342) :args (@t90)) % 161.45/161.74 (step @p316 :rule eq_resolve :premises (@p314 @p311)) % 161.45/161.74 (step @p317 :rule implies_elim :premises (@p316)) % 161.45/161.74 (step @p318 :rule chain_m_resolution :premises (@p317 @p3) :args ((= @t89 @t88) @t65 @t66)) % 161.45/161.74 (step @p319 :rule instantiate :premises (@p3) :args ((@list @t59 tptp.x0 tptp.x1))) % 161.45/161.74 (step @p320 :rule symm :premises (@p319)) % 161.45/161.74 (step @p321 :rule cong :premises (@p220 @p151) :args (@t60)) % 161.45/161.74 (step @p322 :rule trans :premises (@p223 @p142 @p222 @p321)) % 161.45/161.74 (step @p323 :rule cong :premises (@p322 @p28) :args ((tptp.mult @t48 tptp.x0))) % 161.45/161.74 (step @p324 :rule instantiate :premises (@p3) :args ((@list tptp.unit @t20 tptp.x0))) % 161.45/161.74 (step @p325 :rule cong :premises (@p17 @p139) :args ((tptp.mult tptp.unit @t54))) % 161.45/161.74 (step @p326 :rule symm :premises (@p325)) % 161.45/161.74 (step @p327 :rule trans :premises (@p118 @p326 @p324 @p323)) % 161.45/161.74 (step @p328 :rule cong :premises (@p327 @p291) :args (@t21)) % 161.45/161.74 (step @p329 :rule trans :premises (@p328 @p320 @p318 @p309)) % 161.45/161.74 (step @p330 :rule cong :premises (@p34 @p329) :args (@t79)) % 161.45/161.74 (step @p331 :rule cong :premises (@p284 @p330) :args (@t83)) % 161.45/161.74 (step @p332 :rule trans :premises (@p294 @p293 @p290 @p288 @p331 @p278 @p277 @p275 @p273 @p255 @p254 @p251 @p250)) % 161.45/161.74 (assume-push @p343 @t91) % 161.45/161.74 (step @p334 :rule instantiate :premises (@p10) :args ((@list @t21))) % 161.45/161.74 (step-pop @p344 :rule scope :premises (@p334)) % 161.45/161.74 (step @p335 :rule process_scope :premises (@p344) :args ((not @t92))) % 161.45/161.74 (step @p337 :rule implies_elim :premises (@p335)) % 161.45/161.74 (step @p338 false :rule chain_m_resolution :premises (@p337 @p332 @p10) :args (false (@list false false) (@list @t92 @t91))) % 161.45/161.74 ) % 161.45/161.75 % SZS output end Proof % 161.45/161.75 % cvc5 exiting %------------------------------------------------------------------------------